The line graph shows the number of marks Stacey scored in her homework. What are the mode, median and mean scores?

Work Shown:

a = first term = 1

r = 0.8 = common ratio

We know the common ratio is 0.8 because we multiply this common ratio by each term to get the next term. The easiest to spot this is going from term1 to term2. Put another way, term2/term1 = 0.8/1 = 0.8 is our common ratio.

The general form of the nth term of a geometric sequence is [tex]a(r)^{n-1}[/tex] and because the last term has an exponent of 19, this means n-1 = 19 solves to n = 20. Therefore, we are summing exactly n = 20 terms here.

Use the formula below to take a shortcut rather than painstakingly find all 20 terms and then summing them.

[tex]S = \frac{a*(1-r^n)}{1-r}\\\\S = \frac{1*(1-0.8^20)}{1-0.8}\\\\S \approx \frac{1*(1-0.01152921504607)}{1-0.8}\\\\S \approx \frac{1*(0.98847078495393)}{0.2}\\\\S \approx \frac{0.98847078495393}{0.2}\\\\S \approx 4.94235392476964\\\\[/tex]

This value is approximate.

------------

To check your answer, you could type the following into your calculator

1+0.8+0.8^2+0.8^3+0.8^4+0.8^5+0.8^6+0.8^7+0.8^8+0.8^9+0.8^10+0.8^11+0.8^12+0.8^13+0.8^14+0.8^15+0.8^16+0.8^17+0.8^18+0.8^19

Though as you can see, this is very tedious to type in. This is why the formula in the previous section above is preferred.

Answer:

hey hot stuff

Step-by-step explanation:

Answer:

yes, (2,3) is a solution to both equations

Step-by-step explanation:

1. since both expressions are equal to [tex]y[/tex], set [tex]x+1[/tex] and [tex]-x+5[/tex] equal to each other

[tex]x+1=-x+5[/tex]

2. solve

[tex]x=-x+4[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

3. substitute the value of x into the equations

[tex]y=2+1[/tex]

[tex]y=-2+5[/tex]

4. solve

[tex]3=5\\3=5[/tex]

Answer:3 7/8

Step-by-step explanation:A. I think you just want the answer not the explanation. :)

Answer:

m

Step-by-step explanation:

Answer:

4,10

Step-by-step explanation:

We want where they both overlap

X must be greater than 0

We cannot have parts of figures so we must have whole numbers

(6,9) is too large

Answer:

A

Step-by-step explanation:

The solution set is the purple region. The intersection lies at (4,10)

The region is towards left of x=4 so it can't be D

x and y have to be non-negatve integers. So it can't be B or C

Answer:

Tim's box volume is 27 times greater than Emmy's.

Step-by-step explanation:

The volume of a cube is given by the following expression:

volume = l³

Since Emmy's cube have a 3 centimeters long edge, then it's volume is:

volume1 = 3³ = 27 cm³

On the other hand Tim's cube has an edge that is 3 times as long as Emmy's, so it's 9 centimeters long. Therefore it's volume is:

volume2 = 9³ = 729 cm³

The relation between the volume is given by:

ratio = volume2/volume1 = 729/27 = 27

Tim's box volume is 27 times greater than Emmy's.

Answer:

2-(2*N)=22

Step-by-step explanation:

Answer: What are you doing?

Step-by-step explanation:

At the top, it clearly says to do the quiz without help.

Answer:

72 dessert options available

Step-by-step explanation:

3*6*4=72

Answer:

how u write dashain letter

Answer:

Correct answer is c.) [tex]f(x)=(x-2)^2-1[/tex]

Step-by-step explanation:

The vertex form of a parabola can be written as following:

[tex]y = a(x-h)^2 + k ....... (1)[/tex]

[tex](h,k)[/tex] is the co-ordinate of vertex.

[tex]a[/tex] is a constant whose positive or negative value decides where the parabola opens (up or down).

[tex](x,y)[/tex] are the points on parabola.

[tex]y[/tex] and [tex]f(x)[/tex] are interchangeable terms. We can use any of them.

For convenience with the co-ordinates in [tex]xy-[/tex]plane, [tex]y[/tex] is used here.

We are given that vertex is at (2,-1) and there is a point (5,8) on the curve.

i.e. h = 2 and k = -1,

x = 5 and y = 8

Putting the four values in equation (1):

[tex]8 = a(5-2)^2 + (-1)\\\Rightarrow 8 = a(9) -1\\\Rightarrow 9 = 9a \\\Rightarrow a = 1[/tex]

Putting values of [tex]a[/tex] and [tex](h,k)[/tex] in equation (1) to find the equation of parabola:

[tex]y=(x-2)^2-1[/tex]

As told earlier as well, [tex]y[/tex] and [tex]f(x)[/tex] are interchangeable terms.

So, correct equation of parabola is option C) [tex]f(x)=(x-2)^2-1[/tex]

Answer:

x=-9

Step-by-step explanation:

6x=-54

Divide both sides by 6.

-54/6 = -9

x=-9

Look at the attached picture

Hope it will help you

Answer:

The other two numbers depend on what type of triangle it is.

Step-by-step explanation:

if if it is isosceles and may vary however if it is scalene the measures of the other two angles can vary greatly and it will not likely be 45 degrees to 45 degrees.

Answer:

19.2

Step-by-step explanation:

you just need to add them then you will be just

Step-by-step explanation:

Here is the solution. Hope it helps.

Answer:

I'm pretty sure it's 14 not sure but positive

Answer:

If she puts 0 in the box she would have a direct variation.

Step-by-step explanation:

 Given : Lydia writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.We have to choose the correct option from the given options that explain that  the equation could represent a direct variation.When two variables are such that one is a constant multiple of other, we said they are in Direct variation.

That is in form of y = ax , here y and x are in direct variation.Consider the given equation y = 5x  - __

For the equation to be in direct variation the value of missing term has to be 0.

then equation becomes,y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

Option (a) is correct.

Unimodal means one hump; symmetric means there's a central axis of symmetry, here at x=4.  

Answer: B. Unimodal symmetric

Answer:

€14.22

Step-by-step explanation:

0.79 × 18 = 14.22

Answer:

Choice 2

Step-by-step explanation:

1 dollar: 0.79 euros=

18 dollars:x euros

x=18*0.79 or 14.22 euros. Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

None of them can be a solution

Step-by-step explanation:

Answer:

m<ABE = 115.5°

m<DBE= 25.5°

Step-by-step explanation:

m<DBC= 90°

m<DBE + m<EBC= 90°

m<DBE +64.5°= 90°

m<DBE = 90°-64.5°

m<DBE = 25.5°

m<ABE = m<ABD + m<DBE = 90°+25.5° = 115.5°

Answer:

It is mZABE=ZIMBABWE

Step-by-step explanation:

Z+I+M+B+A+B+W+E

Answer:

It's the last one: One-sixth n minus 2 = negative two-thirds

Step-by-step explanation:

Hope this helps!!

Answer:

123

Step-by-step explanation:

to find the current value of one share just do this

23/100*100=23 so just add 23 on 100 and you will get 123 which is the current value of one share.

Answer:

A. X

The dots follow the red line better than the rest.

Answer: it is x

Step-by-step explanation: The dots are closest to the line instead of being more scattered like the other answers, therefore the answer is x.

Answer:

80

Step-by-step explanation:

if 1=40

2 = x

1*x=2*40

x=80

Answer:

80 ounces

Step-by-step explanation:

Let x ounces of gas is needed for 3 ounces of oil.

[tex] \therefore \: \frac{40}{1} = \frac{x}{2} \\ \therefore \: x = 40 \times 2 \\ \huge \purple{ \boxed{\therefore \: x = 80 \: ounces}} \: [/tex]

Answer: 2n + 139 = 377

Step-by-step explanation: